Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line; and... "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Page 30
by Charles Davies - 1886 - 324 pages
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...DAC is a right angle ; therefore also BAC is a right angle. ADDITIONAL PROPOSITIONS. PROP. A. THEOR. A perpendicular is the shortest line that can be drawn from a point, situated without a straight line, to that line : any two oblique lines drawn from the same point...
Full view - About this book

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...sum of the angles CBF and FBD, that is, to the whole angle CBD (Ax. II), PROPOSITION XXVI. THEOREM. A perpendicular is the shortest line that can be drawn from a given point to a line of indefinite length ; and of any other lines drawn from the same point, those that are nearest...
Full view - About this book

Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...double the number of sides and subtract 4, the right angle being the unit of measure.! THEOREM XVII. A perpendicular is the shortest line that can be drawn from a given point to an indefinite line. And, of any other lines drawn from the same point, those that are equally distant...
Full view - About this book

Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...exceed two right angles : hence, at least two angles of every triangle must be acute. THEOREM XVIII. I. A perpendicular is the shortest line that can be...of lines be drawn from the same point, those which are nearest the perpendicular are less than those which arc more remote. Of Triangles. drawn : Then,...
Full view - About this book

Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...exceed two right angles : hence, at least two angles of every triangle must be acute. THEOREM XVIII. I. A perpendicular is the shortest line that can be...of lines be drawn from the same point, those which are nearest the perpendicular are less than those which are more remote. Of Triangles. drawn : Then,...
Full view - About this book

Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...sum of the angles CBF and FBD, that is, to the whole angle CBD, (Ax. II.) PROPOSITION XXVI. THEOREM. A perpendicular is the shortest line that can be drawn from a given point to a line of indefinite length ; and of any other lines drawn from the same point, those that are nearest...
Full view - About this book

Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 142 pages
...it passes through the point O, the same reasoning will apply. EXERCISE V. — THEOREM. Of all lines that can be drawn from a given point to a given line, the perpendicular upon it is the least; and of all others, that which is nearer to the perpendicular...
Full view - About this book

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...opposite the greater angle, AB is less than AC; and AC may be any line not identical with AB; therefore a perpendicular is the shortest line that can be drawn from A to the line DE. 2d. As the two angles, ACB and ACD, are together equal to two right angles, (Th. 1),...
Full view - About this book

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...than two right angles, by joining A to any point in BC. 18. The perpendicular is the shortest straight line that can be drawn from a given point to a given straight line ; and of others, that which is nearer to the perpendicular is less than the more remote...
Full view - About this book

Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...exceed two right angles : hence, at least two angles of every triangle must be acuteTHEOREM XVIIII A perpendicular is the shortest line that can be drawn from a given point to a given lineII If any number of lines be drawn from the- same point, those which arc nearest the perpendicular...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF